Singular perturbations of differential operators: solvable Schrödinger type operators
Differential (and more general self-adjoint) operators involving singular interactions arise naturally in a range of topics such as, classical and quantum physics, chemistry, and electronics. This book presents a systematic mathematical study of these operators, with particular emphasis on spectral...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2000
|
| Schriftenreihe: | London Mathematical Society lecture note series
271 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Differential (and more general self-adjoint) operators involving singular interactions arise naturally in a range of topics such as, classical and quantum physics, chemistry, and electronics. This book presents a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems. Suitable for researchers in analysis or mathematical physics, this book could also be used as a text for an advanced course on the applications of analysis |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 429 pages) |
| ISBN: | 9780511758904 |
| DOI: | 10.1017/CBO9780511758904 |
Internformat
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| 100 | 1 | |a Albeverio, Sergio |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Singular perturbations of differential operators |b solvable Schrödinger type operators |c S. Albeverio, P. Kurasov |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2000 | |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a 1. Rank one perturbations -- 2. Generalized rank one perturbations -- 3. Finite rank perturbations and distribution theory -- 4. Scattering theory for finite rank perturbations -- 5. Krein's formula for infinite deficiency indices and two-body problems -- 6. Few-body problems -- 7. Three-body models in one dimension -- A. Historical remarks | |
| 520 | |a Differential (and more general self-adjoint) operators involving singular interactions arise naturally in a range of topics such as, classical and quantum physics, chemistry, and electronics. This book presents a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems. Suitable for researchers in analysis or mathematical physics, this book could also be used as a text for an advanced course on the applications of analysis | ||
| 650 | 4 | |a Perturbation (Mathematics) | |
| 650 | 4 | |a Schrödinger operator | |
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| 700 | 1 | |a Kurasov, P. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Albeverio, Sergio |
| author_facet | Albeverio, Sergio |
| author_role | aut |
| author_sort | Albeverio, Sergio |
| author_variant | s a sa |
| building | Verbundindex |
| bvnumber | BV043941932 |
| classification_rvk | SI 320 SK 620 |
| collection | ZDB-20-CBO |
| contents | 1. Rank one perturbations -- 2. Generalized rank one perturbations -- 3. Finite rank perturbations and distribution theory -- 4. Scattering theory for finite rank perturbations -- 5. Krein's formula for infinite deficiency indices and two-body problems -- 6. Few-body problems -- 7. Three-body models in one dimension -- A. Historical remarks |
| ctrlnum | (ZDB-20-CBO)CR9780511758904 (OCoLC)852492733 (DE-599)BVBBV043941932 |
| dewey-full | 515/.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511758904 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511758904 |
| language | English |
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| spelling | Albeverio, Sergio Verfasser aut Singular perturbations of differential operators solvable Schrödinger type operators S. Albeverio, P. Kurasov Cambridge Cambridge University Press 2000 1 online resource (xiv, 429 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 271 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Rank one perturbations -- 2. Generalized rank one perturbations -- 3. Finite rank perturbations and distribution theory -- 4. Scattering theory for finite rank perturbations -- 5. Krein's formula for infinite deficiency indices and two-body problems -- 6. Few-body problems -- 7. Three-body models in one dimension -- A. Historical remarks Differential (and more general self-adjoint) operators involving singular interactions arise naturally in a range of topics such as, classical and quantum physics, chemistry, and electronics. This book presents a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems. Suitable for researchers in analysis or mathematical physics, this book could also be used as a text for an advanced course on the applications of analysis Perturbation (Mathematics) Schrödinger operator Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Hamilton-Operator (DE-588)4072278-8 s Störungstheorie (DE-588)4128420-3 s Singularität Mathematik (DE-588)4077459-4 s 2\p DE-604 Kurasov, P. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-77912-8 https://doi.org/10.1017/CBO9780511758904 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Albeverio, Sergio Singular perturbations of differential operators solvable Schrödinger type operators 1. Rank one perturbations -- 2. Generalized rank one perturbations -- 3. Finite rank perturbations and distribution theory -- 4. Scattering theory for finite rank perturbations -- 5. Krein's formula for infinite deficiency indices and two-body problems -- 6. Few-body problems -- 7. Three-body models in one dimension -- A. Historical remarks Perturbation (Mathematics) Schrödinger operator Singularität Mathematik (DE-588)4077459-4 gnd Hamilton-Operator (DE-588)4072278-8 gnd Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4072278-8 (DE-588)4128420-3 (DE-588)4113937-9 |
| title | Singular perturbations of differential operators solvable Schrödinger type operators |
| title_auth | Singular perturbations of differential operators solvable Schrödinger type operators |
| title_exact_search | Singular perturbations of differential operators solvable Schrödinger type operators |
| title_full | Singular perturbations of differential operators solvable Schrödinger type operators S. Albeverio, P. Kurasov |
| title_fullStr | Singular perturbations of differential operators solvable Schrödinger type operators S. Albeverio, P. Kurasov |
| title_full_unstemmed | Singular perturbations of differential operators solvable Schrödinger type operators S. Albeverio, P. Kurasov |
| title_short | Singular perturbations of differential operators |
| title_sort | singular perturbations of differential operators solvable schrodinger type operators |
| title_sub | solvable Schrödinger type operators |
| topic | Perturbation (Mathematics) Schrödinger operator Singularität Mathematik (DE-588)4077459-4 gnd Hamilton-Operator (DE-588)4072278-8 gnd Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | Perturbation (Mathematics) Schrödinger operator Singularität Mathematik Hamilton-Operator Störungstheorie Hochschulschrift |
| url | https://doi.org/10.1017/CBO9780511758904 |
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